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Finding the Fourth Proportional to 9,129, 12,598.02 and 5,403

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Solution

The fourth proportional to 9,129, 12,598.02 and 5,403 is: 7,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129 : 12,598.02 = 5,403 : x
  2. Step 2: Convert to fraction form
    9,129/12,598.02 = 5,403/x
  3. Step 3: Cross multiply
    9,129x = 12,598.02 × 5,403
  4. Step 4: Simplify right side
    9,129x = 68,067,102.06
  5. Step 5: Solve for x
    x = 68,067,102.06/9,129
  6. Step 6: Final answer
    x = 7,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.